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Mrrafil [7]
3 years ago
8

Find the range of values of x for which |x-4| is greater than or equal to 2

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

|x-4| >= 2

=> x-4 >= 2 or x-4 <= -2

=> x>=6 or x <= 2

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54 divided by _____ = -27
Nikitich [7]

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

\frac{54}{x}=\text{ -27}

\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2  (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}

Hence, 54/-2 = -27

6 0
1 year ago
What is the length of the hypotenuse of the right triangle if one side is 16in and one is 7in?
Ronch [10]

Answer:

hypotenuse = 17.46

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2.

Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.

16^2+7^2=c^2

256+49=c^2

305=c^2

which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;

c=17.46

7 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d
Leya [2.2K]

Answer: Option a.

Step-by-step explanation:

 1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

y=f(x+3)=(x+3)^{3} (The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

y=f(x+3)-2=(x+3)^{3}-2  (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in the option a.

6 0
3 years ago
5. What is the center of (0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}?<br> 0.2<br> 0.3<br> 0.1<br> 0.4
Dima020 [189]

Answer:

0.09

Step-by-step explanation:

The data set is:

0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26

The number in the middle is 0.09. Hope this helps!

3 0
3 years ago
A group of students entered the museum at 3:30 pm and came out at 5:15. how long were they in the museum ?
aksik [14]

Answer:

1 hour and 45 minutes

Hope this helped, have a nice day! :)

8 0
3 years ago
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